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Finding the Fourth Proportional to 6,963.65, 10,421.07 and 4,991.45

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Solution

The fourth proportional to 6,963.65, 10,421.07 and 4,991.45 is: 7,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.65 : 10,421.07 = 4,991.45 : x
  2. Step 2: Convert to fraction form
    6,963.65/10,421.07 = 4,991.45/x
  3. Step 3: Cross multiply
    6,963.65x = 10,421.07 × 4,991.45
  4. Step 4: Simplify right side
    6,963.65x = 52,016,249.85
  5. Step 5: Solve for x
    x = 52,016,249.85/6,963.65
  6. Step 6: Final answer
    x = 7,469.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.